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5358495744 = 211327217349
BaseRepresentation
bin1001111110110010…
…00010100000000000
3111211102221210021100
410333121002200000
541433233330434
62243415054400
7246534314400
oct47731024000
914742853240
105358495744
1122aa805188
121056671400
136751caa54
1438b940800
1521566c699
hex13f642800

5358495744 has 432 divisors, whose sum is σ = 19116688500. Its totient is φ = 1436811264.

The previous prime is 5358495743. The next prime is 5358495763. The reversal of 5358495744 is 4475948535.

It is a happy number.

5358495744 is a `hidden beast` number, since 5 + 3 + 584 + 9 + 57 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4978713600 + 379782144 = 70560^2 + 19488^2 .

It is a super-2 number, since 2×53584957442 = 57426953276932227072, which contains 22 as substring.

Its product of digits (12096000) is a multiple of the sum of its prime divisors (378).

It is not an unprimeable number, because it can be changed into a prime (5358495743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15353682 + ... + 15354030.

Almost surely, 25358495744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5358495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558344250).

5358495744 is an abundant number, since it is smaller than the sum of its proper divisors (13758192756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5358495744 is a wasteful number, since it uses less digits than its factorization.

5358495744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 378 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 5358495744 is about 73201.7468644021. The cubic root of 5358495744 is about 1749.9042934326.

The spelling of 5358495744 in words is "five billion, three hundred fifty-eight million, four hundred ninety-five thousand, seven hundred forty-four".